Title: A modified ranking function of linear programming problem directly approach to fuzzy environment

Authors: Rajeev Prasad; Sapan Kumar Das; Tarni Mandal; Jatindra Kumar Dash

Addresses: Department of Mathematics, National Institute of Technology Jamshedpur, India ' Ministry of Finance, Department of Revenue, Government of India, Bhubaneswar-751007, India ' Department of Mathematics, National Institute of Technology Jamshedpur, India ' Department of Computer Science and Engineering, SRM University-AP, Andhra Pradesh, India

Abstract: This work introduced a modified ranking function which produced crisp linear programming (CLP) problems. A fully fuzzy linear programming (FFLP) problem in its balanced form having all the parameters and variables are triangular fuzzy numbers is taken into account during this study. Within the literature of the sector, the prevailing proposed approaches have many shortcomings, i.e., incorporate the rule of surplus variable and does not satisfy the constraints. Here, we bearing in mind of the prevailing shortcomings, a constructive solution is approached to beat the restrictions. For better exactness of the answer which is proposed by us, we use fuzzy number. Two numerical examples are illustrated and compared with the pre-existing methods.

Keywords: fully fuzzy linear programming; FFLP; fuzzy optimal solution; triangular fuzzy numbers; ranking function.

DOI: 10.1504/IJMOR.2021.116963

International Journal of Mathematics in Operational Research, 2021 Vol.19 No.3, pp.401 - 416

Received: 25 Feb 2020
Accepted: 13 May 2020
Published online: 10 Aug 2021 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article